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Finding the Fourth Proportional to 647.94, 893.78 and 604.74

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Solution

The fourth proportional to 647.94, 893.78 and 604.74 is: 834.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.94 : 893.78 = 604.74 : x
  2. Step 2: Convert to fraction form
    647.94/893.78 = 604.74/x
  3. Step 3: Cross multiply
    647.94x = 893.78 × 604.74
  4. Step 4: Simplify right side
    647.94x = 540,504.52
  5. Step 5: Solve for x
    x = 540,504.52/647.94
  6. Step 6: Final answer
    x = 834.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.